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Advanced Math / Nonlinear functions Difficulty: Medium

The height, in feet, of an object x seconds after it is thrown straight up in the air can be modeled by the function h of x equals, negative 16 x squared, plus 20 x, plus 5. Based on the model, which of the following statements best interprets the equation h of 1 point 4 equals, 1 point 6 4 ?

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Explanation

Choice A is correct. The value 1.4 is the value of x, which represents the number of seconds after the object was thrown straight up in the air. When the function h is evaluated for x = 1.4, the function has a value of 1.64, which is the height, in feet, of the object.

Choices B and C are incorrect and may result from misidentifying seconds as feet and feet as seconds. Additionally, choice C may result from incorrectly including the initial height of the object as the input x. Choice D is incorrect and may result from misidentifying height as speed.